Why is it that parseInt(8,3) == NaN and parseInt(16,3) == 1?

Question

I\'m reading this but I\'m confused by what is written in the parseInt with a radix argument chapter

Why is it that parseInt(8, 3)

Answer 1

/***** Radix 3: Allowed numbers are [0,1,2] ********/
parseInt(4, 3); // NaN - We can't represent 4 using radix 3 [allowed - 0,1,2]

parseInt(3, 3); // NaN - We can't represent 3 using radix 3 [allowed - 0,1,2]

parseInt(2, 3); // 2   - yes we can !

parseInt(8, 3); // NaN - We can't represent 8 using radix 3 [allowed - 0,1,2]

parseInt(16, 3); // 1  
//'16' => '1' (6 ignored because it not in [0,1,2])    

/***** Radix 16: Allowed numbers/characters are [0-9,A-F] *****/ 
parseInt('FOX9', 16); // 15  
//'FOX9' => 'F' => 15 (decimal value of 'F')
// all characters from 'O' to end will be ignored once it encounters the out of range'O'
// 'O' it is NOT in [0-9,A-F]

Some more examples:

parseInt('45', 13); // 57
// both 4 and 5 are allowed in Radix is 13 [0-9,A-C]

parseInt('1011', 2); // 11 (decimal NOT binary)

parseInt(7,8); // 7
// '7' => 7 in radix 8 [0 - 7]

parseInt(786,8); // 7 
// '78' => '7' => 7 (8 & next any numbers are ignored bcos 8 is NOT in [0-7])

parseInt(76,8); // 62 
// Both 7 & 6 are allowed '76' base 8 decimal conversion is 62 base 10